user
Instruction:Find the answer to this math problem and provide a detailed explanation

Input: If x + y = 6 and xy = 8, what is the sum of x and y?


assistant
The sum of x and y is 14. This can be determined by solving the two equations given. In the first equation, one can solve for the y variable to get y = 6-x. This is then used to solve for x in the second equation, which yields x = 8/y. By substituting the value for y from the first equation, one can calculate that x = 2 and y = 4, giving us the sum of 6 + 4 = 14.